Assume that X follows a normal distribution N(25; 16).1)Sketch a graph in which you represent the graph of the density function of X, the line X = 25, and the probability P(20 < X ​​< 30). 2)You are asked to evaluate the probability P(X ≥ 20). You are given the following answers:(a) 0.0034 (b) 0.4993 (c) 0.8944Without resorting to a complicated calculation, give the correct answer in your opinion, explainingyour choice.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Assume that X follows a normal distribution N(25; 16).
1)Sketch a graph in which you represent the graph of the density function of X, the line X = 25, and the probability P(20 < X ​​< 30).

2)You are asked to evaluate the probability P(X ≥ 20). You are given the following answers:
(a) 0.0034 (b) 0.4993 (c) 0.8944
Without resorting to a complicated calculation, give the correct answer in your opinion, explaining
your choice.

 

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